126356512 has 48 divisors (see below), whose sum is σ = 264539520. Its totient is φ = 59204608.

The previous prime is 126356507. The next prime is 126356513. The reversal of 126356512 is 215653621.

It is a super-2 number, since 2×126356512² = 31931936249612288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126356513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194973 + ... + 195619.

It is an arithmetic number, because the mean of its divisors is an integer number (5511240).

Almost surely, 2^126356512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126356512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132269760).

126356512 is an abundant number, since it is smaller than the sum of its proper divisors (138183008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126356512 is a wasteful number, since it uses less digits than its factorization.

126356512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1025 counting only the distinct ones).

The product of its digits is 10800, while the sum is 31.

The square root of 126356512 is about 11240.8412496574. The cubic root of 126356512 is about 501.8021791629.

It can be divided in two parts, 1263 and 56512, that added together give a palindrome (57775).

The spelling of 126356512 in words is "one hundred twenty-six million, three hundred fifty-six thousand, five hundred twelve".